Learn on PengiEureka Math, Grade 5Chapter 11: Mental Strategies for Multi-Digit Whole Number Division

Lesson 3: Use basic facts to approximate quotients with two-digit divisors.

In this Grade 5 Eureka Math lesson, students learn how to use basic division facts to approximate quotients when dividing four-digit numbers by two-digit divisors. They practice rounding the divisor to the nearest ten first, then selecting a compatible dividend to create an easier basic fact, such as estimating 8,095 ÷ 23 as 8,000 ÷ 20 = 800 ÷ 2 = 400. This lesson builds on earlier estimation strategies and prepares students for more precise multi-digit division with two-digit divisors.

Section 1

Generating Multiple Reasonable Estimates

Property

To find different reasonable estimates for the same division problem, you can round the divisor to different nearby multiples of 10.
Each rounded divisor will lead to a different choice of compatible number for the dividend, resulting in multiple valid estimates.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Generating Multiple Reasonable Estimates

Property

To find different reasonable estimates for the same division problem, you can round the divisor to different nearby multiples of 10.
Each rounded divisor will lead to a different choice of compatible number for the dividend, resulting in multiple valid estimates.

Examples